Emma has 25% as many pens as Mary. Mary has 130% as many pens as Risa. If Mary gives 12 pens to Risa, both will then have an equal number of pens. Find the average number of pens the three of them have.
Emma |
Mary |
Risa |
1x13 |
4x13 |
|
|
13x4 |
10x4 |
13 u |
52 u |
40 u |
25% =
25100 =
14130% =
130100=
1310The number of pens that Emma has is repeated. Make the number of pens that Emma has the same. LCM of 4 and 13 is 52.
|
Mary |
Risa |
Total |
Before |
52 u |
40 u |
92 u |
Change |
- 6 u |
+ 6 u |
|
After |
46 u |
46 u |
92 u |
Total number of pens that Mary and Risa have
= 52 u + 40 u
= 92 u
After Mary gives to Risa, both of them will have the same number of pens.
The total number of pens that Mary and Risa have remains unchanged.
Number of pens that each of them will have
= 92 u ÷ 2
= 46 u
Number of pens that Mary gives to Risa
= 52 u - 46 u
= 6 u
6 u = 12
1 u = 12 ÷ 6 = 2
Total number of pens that three of them have
= 92 u + 13 u
= 105 u
Average number of pens that each of them have
= 105 u ÷ 3
= 35 u
= 35 x 2
= 70
Answer(s): 70